What is the probability that a spinner with 26 spaces (labeled A to Z) lands on a vowel (A, E, I, O, or U)? Enter your response as a fraction.(1 point)

1 answer

To find the probability that the spinner lands on a vowel, we first need to identify how many vowel spaces are present among the 26 labeled spaces (A to Z). The vowels are A, E, I, O, and U.

Counting the vowels:

  • A
  • E
  • I
  • O
  • U

This gives us a total of 5 vowels.

Now, we determine the total number of spaces on the spinner, which is 26.

The probability \( P \) of landing on a vowel can be calculated using the formula:

\[ P(\text{vowel}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{5}{26} \]

So, the probability that the spinner lands on a vowel is:

\[ \frac{5}{26} \]